Quantum energy-mass spectrum of Yang-Mills bosons

TL;DR

This paper presents a non-perturbative quantization of Yang-Mills theory, demonstrating an infinite discrete energy spectrum with a positive mass gap for gauge bosons, based on advanced infinite-dimensional analysis.

Contribution

It introduces a novel non-perturbative quantization method for Yang-Mills energy-mass functional using Kree nuclear triples, revealing a discrete spectrum with a mass gap.

Findings

Infinite discrete energy-mass spectrum for gauge bosons

Positive mass gap due to self-interaction term

Quantization based on infinite-dimensional analysis in Kree nuclear triples

Abstract

A non-perturbative quantization of the Yang-Mills energy-mass functional with a compact semi-simple gauge group entails an infinite discrete energy-mass spectrum of gauge bosons. The bosonic spectrum is bounded from below, and has a positive mass gap due to the quartic self-interaction term of pure Yang-Mills Lagrangian (with no Higgs term involved). This quantization is based on infinite-dimensional analysis in Kree nuclear triple of sesqui-holomorphic functionals of initial data for the the non-linear classical Yang-Mills equations in the temporal gauge.